变批次长度的非线性分布参数系统迭代学习控制
TP273; 针对一类离散的非线性分布参数系统,提出了一种批次长度随机变化的迭代学习控制问题.该类系统由抛物型偏微分方程构成.该方法采用伯努利型随机变量来描述迭代长度随机变化的情况,并根据分布参数系统的性质以及P型分布更新控制算法设计了迭代学习控制器.基于压缩映射原理,给出了系统输出误差收敛的充分必要条件并加以证明.结果表明,所提出的控制方法在λ范数意义下跟踪误差是收敛,且相对经典迭代学习算法,所提控制算法的收敛速度更快.最后,通过数值仿真验证了所提算法的有效性....
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| Published in | 南京航空航天大学学报 Vol. 54; no. 1; pp. 172 - 178 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
重庆邮电大学工业物联网与网络化控制教育部重点实验室,重庆 400065
01.02.2022
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1005-2615 |
| DOI | 10.16356/j.1005-2615.2022.01.020 |
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| Abstract | TP273; 针对一类离散的非线性分布参数系统,提出了一种批次长度随机变化的迭代学习控制问题.该类系统由抛物型偏微分方程构成.该方法采用伯努利型随机变量来描述迭代长度随机变化的情况,并根据分布参数系统的性质以及P型分布更新控制算法设计了迭代学习控制器.基于压缩映射原理,给出了系统输出误差收敛的充分必要条件并加以证明.结果表明,所提出的控制方法在λ范数意义下跟踪误差是收敛,且相对经典迭代学习算法,所提控制算法的收敛速度更快.最后,通过数值仿真验证了所提算法的有效性. |
|---|---|
| AbstractList | TP273; 针对一类离散的非线性分布参数系统,提出了一种批次长度随机变化的迭代学习控制问题.该类系统由抛物型偏微分方程构成.该方法采用伯努利型随机变量来描述迭代长度随机变化的情况,并根据分布参数系统的性质以及P型分布更新控制算法设计了迭代学习控制器.基于压缩映射原理,给出了系统输出误差收敛的充分必要条件并加以证明.结果表明,所提出的控制方法在λ范数意义下跟踪误差是收敛,且相对经典迭代学习算法,所提控制算法的收敛速度更快.最后,通过数值仿真验证了所提算法的有效性. |
| Author | 王游司 李勇 陈晓雷 王玉川 |
| AuthorAffiliation | 重庆邮电大学工业物联网与网络化控制教育部重点实验室,重庆 400065 |
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| Author_FL | CHEN Xiaolei WANG Yousi LI Yong WANG Yuchuan |
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| DocumentTitle_FL | Iterative Learning Control for Nonlinear Distributed Parameter Systems with Randomly Varying Trial Lengths |
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| Keywords | 迭代学习控制;变批次长度;非线性;分布参数系统;λ范数;压缩映射原理 |
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| Title | 变批次长度的非线性分布参数系统迭代学习控制 |
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